Using a binomial tree, when calculating the price of a $$40$ strike $6-$month European call option, using $3-$month intervals as the time period, what is B $($Dollar Amount Borrowed in the replicating portfolio$)$ at the first node $($Time $0)?$ Assume the following data: S $=$ $$37\mathrm{.}90,\backslash$delta $=0\%,$ r $=5\mathrm{.}0\%,\backslash$sigma $=0\mathrm{.}35.$

Question $25$ options:

$-$$$16\mathrm{.}0847$

$-$$$14\mathrm{.}3848$

$-$$$12\mathrm{.}9940$

$-$$$18\mathrm{.}6957$

$-$$$15\mathrm{.}1442$